Question

solve for x using cross multiplication.\\(\frac{2x + 2}{11} = \frac{x - 4}{6}\\)\\(x = ?\\)

Explanation:

Step1: Apply cross - multiplication

Cross - multiplying the equation \(\frac{2x + 2}{11}=\frac{x - 4}{6}\) gives us \(6(2x + 2)=11(x - 4)\).

Step2: Expand both sides

Expanding the left - hand side: \(6\times2x+6\times2 = 12x + 12\).
Expanding the right - hand side: \(11\times x-11\times4=11x - 44\).
So the equation becomes \(12x + 12=11x - 44\).

Step3: Solve for x

Subtract \(11x\) from both sides: \(12x-11x + 12=11x-11x - 44\), which simplifies to \(x + 12=-44\).
Then subtract 12 from both sides: \(x+12 - 12=-44 - 12\).

Answer:

\(x=-56\)